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3404420316 = 22321129521569
BaseRepresentation
bin1100101011101011…
…0101010011011100
322210021000110201100
43022322311103130
523433012422231
61321452313100
7150236044443
oct31272652334
98707013640
103404420316
111497785410
127b0172790
13423412abb
142441dbd5a
1514dd2c1e6
hexcaeb54dc

3404420316 has 144 divisors (see below), whose sum is σ = 9747410400. Its totient is φ = 992409600.

The previous prime is 3404420303. The next prime is 3404420317. The reversal of 3404420316 is 6130244043.

3404420316 is a `hidden beast` number, since 340 + 4 + 4 + 2 + 0 + 316 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3404420316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404420317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5982880 + ... + 5983448.

It is an arithmetic number, because the mean of its divisors is an integer number (67690350).

Almost surely, 23404420316 is an apocalyptic number.

3404420316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404420316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873705200).

3404420316 is an abundant number, since it is smaller than the sum of its proper divisors (6342990084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3404420316 is a wasteful number, since it uses less digits than its factorization.

3404420316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3404420316 is about 58347.4105338018. The cubic root of 3404420316 is about 1504.3459615847.

Adding to 3404420316 its reverse (6130244043), we get a palindrome (9534664359).

The spelling of 3404420316 in words is "three billion, four hundred four million, four hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 521 522 569 638 957 1042 1044 1138 1276 1563 1707 1914 2084 2276 2871 3126 3414 3828 4689 5121 5731 5742 6252 6259 6828 9378 10242 11462 11484 12518 15109 16501 17193 18756 18777 20484 22924 25036 30218 33002 34386 37554 45327 49503 51579 56331 60436 66004 68772 75108 90654 99006 103158 112662 135981 148509 166199 181308 181511 198012 206316 225324 271962 296449 297018 332398 363022 498597 543924 544533 592898 594036 664796 726044 889347 997194 1089066 1185796 1495791 1633599 1778694 1994388 2178132 2668041 2991582 3260939 3267198 3557388 5336082 5983164 6521878 6534396 8597021 9782817 10672164 13043756 17194042 19565634 25791063 29348451 34388084 39131268 51582126 58696902 77373189 94567231 103164252 117393804 154746378 189134462 283701693 309492756 378268924 567403386 851105079 1134806772 1702210158 3404420316